Pavol Oršanský - Academia.edu (original) (raw)

Papers by Pavol Oršanský

Research paper thumbnail of Efficiency Improvement of Electro-Mechanical Systems

MATEC Web of Conferences

A study was performed to investigate the effect of using Euler-Lagrange optimization decreasing e... more A study was performed to investigate the effect of using Euler-Lagrange optimization decreasing energy demands for given electro-mechanical systems exploiting electric drives, which are typical for industrial and transportation applications e.g. robotic arm control, train movement control etc.

Research paper thumbnail of Euler-Lagrange optimization of electric drives with DTM method

MATEC Web of Conferences, 2018

Euler-Lagrange optimization method is exploited here to develop energy saving position control st... more Euler-Lagrange optimization method is exploited here to develop energy saving position control strategy valid for a.c. drives. The optimization principle respects copper losses minimization only. Boundary value problem for Euler-Lagrange equations is solved by Differential transformation method (DTM).

Research paper thumbnail of Energy optimal trajectories for electro-mechanical systems

IOP Conference Series: Materials Science and Engineering, 2020

Electro-mechanical systems (EMS) efficiency improvement can result not only in significant energy... more Electro-mechanical systems (EMS) efficiency improvement can result not only in significant energy savings but also can have positive impact on our environment. Progressive applications of EMS control as e.g. dynamical system of multi-parts robots are described by system of non-linear mutually coupled differential equations considering gravity, acceleration, Coriolis and centrifugal couplings together with parameter changes as a function of load. Using Euler-Lagrange optimization we discuss some results in decreasing energy demands for given electro-mechanical systems exploiting electric drives, which are typical for industrial and transportation applications e.g. robotic arm control, train movement control etc.

Research paper thumbnail of Compare of analytic and numerical solution of parametric oscillator with perturbation and its analytical solution

MATEC Web of Conferences, 2019

In this paper we deal with an approximative analytical solution of a second order differential eq... more In this paper we deal with an approximative analytical solution of a second order differential equation with a fast time periodic modulation. We use for this type of the equation a homotopy perturbation method. The validity of this approximative solution is verified by numerical experiments, where we achieve considerable consistency of doth soliutions.

Research paper thumbnail of Two-dimensional analogy of the Korous inequality

Journal of Mathematical Inequalities, 2015

J. Korous reached an important and interesting result for general orthogonal polynomials in one v... more J. Korous reached an important and interesting result for general orthogonal polynomials in one variable. In the paper we generalize this result for orthogonal polynomials in two variables. The boundedness of two families of orthonormal polynomials associated with an arbitrary weight function w(x,y) and its extension W (x,y) = w(x,y)h(x,y) , where h(x,y) is a function satisfying certain conditions, is investigated.

Research paper thumbnail of Korous Type Inequalities for Orthogonal Polynomials in two Variables

Tatra Mountains Mathematical Publications, 2014

J. Korous reached an important result for general orthogonal polynomials in one variable. He deal... more J. Korous reached an important result for general orthogonal polynomials in one variable. He dealt with the boundedness and uniform boundedness of polynomials { Pn(x)}∞ n=0 orthonormal with the weight function h(x) = δ(x) ̃h(x), where ̃h(x) is the weight function of another system of polynomials { ̃Pn(x) }∞ n=0 orthonormal in the same interval and δ(x) ≥ δ0 > 0 is a certain function. We generalize this result for orthogonal polynomials in two variables multiplying their weight function h(x, y) by a polynomial, dividing h(x, y) by a polynomial, and multiplying h(x, y) with separated variables by a certain function δ(x, y).

Research paper thumbnail of Mathematical model of a closed hot air engine cycle using MATLAB®Simulink®

In our work we present a model of a closed hot air engine, which we simulate in MATLAB®Simulink® ... more In our work we present a model of a closed hot air engine, which we simulate in MATLAB®Simulink® environment. That gives us many opportunities of investigating the influence of extreme demanding conditions on the stability and functionality of the device. We were also able to try the conditions that would real device cannot resist as high temperature or pressure.

Research paper thumbnail of Parametric oscilator with perturbation and its analytical solution

This paper deals with an analytical solution of some second order linear differential equation wi... more This paper deals with an analytical solution of some second order linear differential equation with time depend parameters. The analytic solution is compared with the numerical solution and the conditions of the convergence of this analytical method are discussed.

Research paper thumbnail of Parametric oscillations of the mechanical systems

MATEC Web of Conferences, 2018

This paper deals with an approximative solution in the analytical form of some second order linea... more This paper deals with an approximative solution in the analytical form of some second order linear differential equation with time depend parameters. The analytic solution is compared with the numerical solution obtained by Runge-Kutta method and the conditions of the convergence of this analytical method are discussed.

Research paper thumbnail of Multidimensional generalization of the Korous inequality

Integral Transforms and Special Functions, 2016

ABSTRACT This paper deals with some qualitative properties of orthogonal polynomials in several v... more ABSTRACT This paper deals with some qualitative properties of orthogonal polynomials in several variables. The boundedness and relations between two sets of orthonormal polynomials associated with an arbitrary weight function and its extension are investigated. It presents an analogy to Korous' result for general orthogonal polynomials in one variable.

Research paper thumbnail of Efficiency Improvement of Electro-Mechanical Systems

MATEC Web of Conferences

A study was performed to investigate the effect of using Euler-Lagrange optimization decreasing e... more A study was performed to investigate the effect of using Euler-Lagrange optimization decreasing energy demands for given electro-mechanical systems exploiting electric drives, which are typical for industrial and transportation applications e.g. robotic arm control, train movement control etc.

Research paper thumbnail of Euler-Lagrange optimization of electric drives with DTM method

MATEC Web of Conferences, 2018

Euler-Lagrange optimization method is exploited here to develop energy saving position control st... more Euler-Lagrange optimization method is exploited here to develop energy saving position control strategy valid for a.c. drives. The optimization principle respects copper losses minimization only. Boundary value problem for Euler-Lagrange equations is solved by Differential transformation method (DTM).

Research paper thumbnail of Energy optimal trajectories for electro-mechanical systems

IOP Conference Series: Materials Science and Engineering, 2020

Electro-mechanical systems (EMS) efficiency improvement can result not only in significant energy... more Electro-mechanical systems (EMS) efficiency improvement can result not only in significant energy savings but also can have positive impact on our environment. Progressive applications of EMS control as e.g. dynamical system of multi-parts robots are described by system of non-linear mutually coupled differential equations considering gravity, acceleration, Coriolis and centrifugal couplings together with parameter changes as a function of load. Using Euler-Lagrange optimization we discuss some results in decreasing energy demands for given electro-mechanical systems exploiting electric drives, which are typical for industrial and transportation applications e.g. robotic arm control, train movement control etc.

Research paper thumbnail of Compare of analytic and numerical solution of parametric oscillator with perturbation and its analytical solution

MATEC Web of Conferences, 2019

In this paper we deal with an approximative analytical solution of a second order differential eq... more In this paper we deal with an approximative analytical solution of a second order differential equation with a fast time periodic modulation. We use for this type of the equation a homotopy perturbation method. The validity of this approximative solution is verified by numerical experiments, where we achieve considerable consistency of doth soliutions.

Research paper thumbnail of Two-dimensional analogy of the Korous inequality

Journal of Mathematical Inequalities, 2015

J. Korous reached an important and interesting result for general orthogonal polynomials in one v... more J. Korous reached an important and interesting result for general orthogonal polynomials in one variable. In the paper we generalize this result for orthogonal polynomials in two variables. The boundedness of two families of orthonormal polynomials associated with an arbitrary weight function w(x,y) and its extension W (x,y) = w(x,y)h(x,y) , where h(x,y) is a function satisfying certain conditions, is investigated.

Research paper thumbnail of Korous Type Inequalities for Orthogonal Polynomials in two Variables

Tatra Mountains Mathematical Publications, 2014

J. Korous reached an important result for general orthogonal polynomials in one variable. He deal... more J. Korous reached an important result for general orthogonal polynomials in one variable. He dealt with the boundedness and uniform boundedness of polynomials { Pn(x)}∞ n=0 orthonormal with the weight function h(x) = δ(x) ̃h(x), where ̃h(x) is the weight function of another system of polynomials { ̃Pn(x) }∞ n=0 orthonormal in the same interval and δ(x) ≥ δ0 > 0 is a certain function. We generalize this result for orthogonal polynomials in two variables multiplying their weight function h(x, y) by a polynomial, dividing h(x, y) by a polynomial, and multiplying h(x, y) with separated variables by a certain function δ(x, y).

Research paper thumbnail of Mathematical model of a closed hot air engine cycle using MATLAB®Simulink®

In our work we present a model of a closed hot air engine, which we simulate in MATLAB®Simulink® ... more In our work we present a model of a closed hot air engine, which we simulate in MATLAB®Simulink® environment. That gives us many opportunities of investigating the influence of extreme demanding conditions on the stability and functionality of the device. We were also able to try the conditions that would real device cannot resist as high temperature or pressure.

Research paper thumbnail of Parametric oscilator with perturbation and its analytical solution

This paper deals with an analytical solution of some second order linear differential equation wi... more This paper deals with an analytical solution of some second order linear differential equation with time depend parameters. The analytic solution is compared with the numerical solution and the conditions of the convergence of this analytical method are discussed.

Research paper thumbnail of Parametric oscillations of the mechanical systems

MATEC Web of Conferences, 2018

This paper deals with an approximative solution in the analytical form of some second order linea... more This paper deals with an approximative solution in the analytical form of some second order linear differential equation with time depend parameters. The analytic solution is compared with the numerical solution obtained by Runge-Kutta method and the conditions of the convergence of this analytical method are discussed.

Research paper thumbnail of Multidimensional generalization of the Korous inequality

Integral Transforms and Special Functions, 2016

ABSTRACT This paper deals with some qualitative properties of orthogonal polynomials in several v... more ABSTRACT This paper deals with some qualitative properties of orthogonal polynomials in several variables. The boundedness and relations between two sets of orthonormal polynomials associated with an arbitrary weight function and its extension are investigated. It presents an analogy to Korous' result for general orthogonal polynomials in one variable.